The planes p x+2 y+2 z-3=0 and 2 x-y+z+2=0 intersect at an angle \pi \/ 4. What is the value of p^2 ?

UPSC NDA I 2010 Mathematics Paper

Question : 40 of 120

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The planes px+2y+2z−3=0 and 2x−y+z+2=0 intersect at an angle π∕4. What is the value of p2 ?

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